K-theory and the connection index

Kamran, Tayyab and Plymen, Roger (2012) K-theory and the connection index. [MIMS Preprint]

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Let G denote a split simply connected almost simple p-adic group. The classical example is the special linear group SL(n). We study the K-theory of the unramified unitary principal series of G and prove that the rank of K_0 is the connection index f(G). We relate this result to a recent refinement of the Baum-Connes conjecture, and show explicitly how generators of K_0 contribute to the K-theory of the Iwahori C*-algebra.

Item Type: MIMS Preprint
Uncontrolled Keywords: Local field, p-adic group, connection index, K-theory
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 19 K-theory
MSC 2010, the AMS's Mathematics Subject Classification > 22 Topological groups, Lie groups
Depositing User: Professor Roger Plymen
Date Deposited: 19 Feb 2012
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1783

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